E.C. 2. (10 pts.) Suppose that (sn) is a sequence of real numbers such that sn...

E.C. 2. (10 pts.) Suppose that (sn) is a sequence of real numbers such that sn ≥ 0 for all n ∈ N. (a) Show that the set of subsequential limits of S satisfies S ⊆ [0,∞) ∪ {+∞}. (b) Is it possible for S = [0,∞) ? (Hint: apply Theorem 11.9.)

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Colby Messinger answered 1 year ago

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